scholarly journals On interpolational spreads of some subspaces of Hermitian splines

2021 ◽  
Vol 15 ◽  
pp. 54
Author(s):  
Ye.Yu. Bovdui ◽  
V.L. Velikіn
Keyword(s):  
Continuous Functions ◽  
Space Of Continuous Functions

We obtain two-sided bounds, and, in some cases, exact values as well, for interpolational spreads of subspaces of Hermitian splines in the space of continuous functions with uniform metric.

Periodic solutions to functional differential equations

1985 ◽  
Vol 101 (3-4) ◽  
pp. 253-271 ◽  
Author(s):  
O. A. Arino ◽  
T. A. Burton ◽  
J. R. Haddock
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Uniform Boundedness ◽  
Continuous Functions ◽  
Ultimate Boundedness ◽  
Space Of Continuous Functions ◽  
Uniform Ultimate Boundedness ◽  
Functional Differential ◽  
Image Position

SynopsisWe consider a system of functional differential equationswhere G: R × B → Rn is T periodic in t and B is a certain phase space of continuous functions that map (−∞, 0[ into Rn. The concepts of B-uniform boundedness and B-uniform ultimate boundedness are introduced, and sufficient conditions are given for the existence of a T-periodic solution to (1.1). Several examples are given to illustrate the main theorem.

scholarly journals Korovkin sets for an operator on a space of continuous functions

1976 ◽  
Vol 65 (2) ◽  
pp. 337-345 ◽  
Author(s):  
Le Baron Ferguson ◽  
Michael D. Rusk
Keyword(s):  
Continuous Functions ◽  
Space Of Continuous Functions
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